Properties of the Number 9828

Nine Thousand Eight Hundred Twenty-Eight

Basics

Value: 9827 → 9828 → 9829

Parity: even

Prime: No

Previous Prime: 9817

Next Prime: 9829

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 7 × 13

Divisors: 1, 2, 3, 4, 6, 7, 9, 12, 13, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 10011001100100

Octal: 23144

Duodecimal: 5830

Hexadecimal: 2664

Square: 96589584

Square Root: 99.13626985114983

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of binary partitions: number of partitions of 2n into powers of 2. A123

a(n) = n*(n+1)*(n+2)/2. A27480

a(n) = σ(n) * A003961(n), where A003961 shifts the prime factorization of n one step towards larger primes, and σ is the sum of the divisors of n. A341529

Orders of noncyclic simple groups (without repetition). A1034

Number of partitions of n which represent first player winning Chomp positions. A112471

Intermediate edge b of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a² + b²), sqrt(b² + c²), sqrt(a² + c²) are integers). A31174

Number of compositions of n with equal number of even and odd parts. A98123

Orders of finite perfect groups (groups such that G = G' where G' is the commutator subgroup of G). A60793

Coefficient of x⁵ in expansion of (1 + x + x²)ⁿ. A574

Numbers k such that k² is a palindrome when written in base 17. A118651